What is the Greatest Common Factor of 90208 and 90219?

Greatest common factor (GCF) of 90208 and 90219 is 1.

GCF(90208,90219) = 1

We will now calculate the prime factors of 90208 and 90219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90208 and 90219.

How to find the GCF of 90208 and 90219?

We will first find the prime factorization of 90208 and 90219. After we will calculate the factors of 90208 and 90219 and find the biggest common factor number .

Step-1: Prime Factorization of 90208

Prime factors of 90208 are 2, 2819. Prime factorization of 90208 in exponential form is:

90208 = 2⁵ × 2819¹

Step-2: Prime Factorization of 90219

Prime factors of 90219 are 3, 17, 29, 61. Prime factorization of 90219 in exponential form is:

90219 = 3¹ × 17¹ × 29¹ × 61¹

Step-3: Factors of 90208

List of positive integer factors of 90208 that divides 90208 without a remainder.

1, 2, 4, 8, 16, 32, 2819, 5638, 11276, 22552, 45104

Step-4: Factors of 90219

List of positive integer factors of 90219 that divides 90208 without a remainder.

1, 3, 17, 29, 51, 61, 87, 183, 493, 1037, 1479, 1769, 3111, 5307, 30073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90208 and 90219. The biggest common factor number is the GCF number.
So the greatest common factor 90208 and 90219 is 1.

Also check out the Least Common Multiple of 90208 and 90219